164938430753 has 2 divisors, whose sum is σ = 164938430754. Its totient is φ = 164938430752.

The previous prime is 164938430749. The next prime is 164938430777. The reversal of 164938430753 is 357034839461.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 154808410849 + 10130019904 = 393457^2 + 100648^2 .

It is an emirp because it is prime and its reverse (357034839461) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 164938430753 - 2² = 164938430749 is a prime.

It is a super-3 number, since 3×164938430753³ (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 164938430695 and 164938430704.

It is not a weakly prime, because it can be changed into another prime (164938430453) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 82469215376 + 82469215377.

It is an arithmetic number, because the mean of its divisors is an integer number (82469215377).

Almost surely, 2^164938430753 is an apocalyptic number.

It is an amenable number.

164938430753 is a deficient number, since it is larger than the sum of its proper divisors (1).

164938430753 is an equidigital number, since it uses as much as digits as its factorization.

164938430753 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6531840, while the sum is 53.

The spelling of 164938430753 in words is "one hundred sixty-four billion, nine hundred thirty-eight million, four hundred thirty thousand, seven hundred fifty-three".